Answer:
Step-by-step explanation:
A. 1
B. -3
C. 3
D. -1
The value of x = -1
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
3x +y+2z=-10 equation 1
x+5y+2z=-12 equation 2
-2x+3y=-1 equation 3
Subtracting equation 1 to equation 2, we get
3x +y+2z - (x+5y+2z)=-10 - (-12)
3x +y+2z - x -5y -2z = -10 + 12
2x - 4y = 2 equation 4
Adding equation 4 to equation 3, we get
2x - 4y -2x+3y = 2 - 1
- y = 1
y = -1
Putting the value of y in equation 4, we get
2x - 4y = 2
2x - 4(-1) = 2
2x +4 = 2
2x = -2
x = -1
Therefore, the value of x = -1
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Activity a1 takes 5 weeks a2 takes 8 weeks and a3 takes 2 weeks. what is the slack of a3?
Slack of a3 is 6 weeks.
What is slack?
Slack variables are variables that are introduced to an inequality constraint in an optimization problem to change it into an equality. An inequality constraint is replaced by an equality requirement and a non-negativity constraint on the slack variable when a slack variable is introduced. In particular, slack variables are employed in linear programming. The slack variable, like the other variables in the augmented constraints, can only have positive or zero values because of the simplex method. A constraint is binding at a certain candidate solution if its associated slack variable is zero because it limits the modifications that can occur after that.
There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.
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(There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.)
Solve the linear equation x/3-7=-5
The solution to the linear equation according to the task content as given is; 6.
What is the solution to the linear equation as given in the task content?It follows from the task content, it follows that the solution to the linear equation given is required.
Given;
x/3 - 7 = -5
Add 7 to both sides of the equation;
x/3 = -5 + 7
x/3 = 2
Multiply both sides by 3;
x = 2×3
x = 6.
Ultimately, the solution of the linear equation as given in the task content is; 6.
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I need help on 11 and 12 I need it in 1 min help asp
Answer:
in 11 1 is greater in 12 they are equal
Step-by-step explanation:
Find the equation of a line that passes through the points (-1,-3) and (1,-5).
The equation of the line is (y + x = 0).
What exactly do you understand by slope?The slope of a line indicates its steepness in addition to its direction.
A line's slope is defined as the change in y coordinate in regards to a change in x coordinate.The total increase in y coordinates is Δy, while it is x in Δx coordinates.As a result, the y coordinate shift in relation to the x coordinate shift could be written as,m = Δy/Δx
where, m is the slope
And, tan θ = Δy/Δx
The above tan is also known as the line's slope.
The slope of a line can also be calculated just using two straight line points. The slope of line formula could then be used with two point coordinates.
Now, in response to the question;
P₁ = (x₁, y₁)
P₂ = (x₂, y₂)
Then slope will be;
Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)
Consider the values given in the question;
(x₁, y₁) = (-1,-3) and,
(x₂, y₂) = (1,-5).
Put the values in the formula of the slope;
Slope = m = (-5 + 3)/(1 + 1)
m = -2/2
m = -1
Thus, the slope of the line is -4.
Now, the formula for finding the equation of line using the two points system.
(y - y₁) = m(x - x₁)
(y + 3) = (-1)(x + 1)
y + 3 = -x - 1
y + x + 4 = 0.
Therefore, the equation of the line using two point system is calculated as (y + x = 0).
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let [a; b] be a non-degenerate closed interval in r, and let f : [a; b] ! r. for ant x 2 [a; b] and any t 2 [a; b] s.t. t 6
According to the given data the non - degenerated closed interval in r is calculated as [tex]\int\limits^t_s[/tex]f(t) - f(s).
What is the degenerated interval?Any set that only contains one real number is known as a degenerate interval (i.e., an interval of the form [a,a]). an interval is measured in terms of numbers. An interval is any integer that falls between two specific numbers. This range encompasses all real numbers between those two. Real numbers can be any number anyone can think of. A degenerate interval is any set that contains only one real number (i.e., an interval of the form [a, a]). The empty set is included in this definition by some authors. A suitable interval is one that is either empty or degenerate and has an infinite number of elements.
According to the given data:f(x[tex]_r[/tex]) - f(x[tex]_r[/tex]₋₁) = F' (e[tex]_r[/tex])(x[tex]_r[/tex] - x[tex]_r[/tex]₋₁)
By summating the equation it becomes.
f(t) - f(s) [tex]\int\limits^t_s[/tex] f < = f(t) - f(s) --------->
[tex]\int\limits^t_s[/tex] ts < = f(t) - f(s) ------------->2
From 1 and 2
[tex]\int\limits^t_-s < ={f(t) - f(s) < = \int\limits^t_d {f}[/tex]
So, it finally becomes
[tex]\int\limits^t_s[/tex]f < = f(t) - f(s)
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on friday, you drove 145 miles to stay at your grandmother's house. on Sunday, you returned home and calculated the the road trip travel time was 5 hours. What was your average speed?
Answer:
29 mph
Step-by-step explanation:
divide 145 miles by 5 hours to calculate your miles per hour. 145 / 5 = 29!
Answer: 58 mph
Step-by-step explanation: Since its a round trip multiply 145 by 2.
290
Divide 290/5= 58
58 miles per hour
The function has changed from f(x)= |x| to g(x)= 2|x|+3 describe the change.
*
The function has been vertically stretched by a factor of 2 and shifted 3 units up
The function has been vertically compressed by a factor of 2 and shifted 3 units up
The function has been vertically stretched by a factor of 2 and shifted 3 units down
The function has been vertically compressed by a factor of 2 and shifted 3 units down
Maysa made an error in her work on the following problem.
3
.
5
−
2
.
46
=
1
.
16
Describe Maysa's error. Explain how you would use a model or place-value concepts to help Maysa build understanding. Give the correct answer in your explanation.
The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.
The correct equation is as follows;
3.5 - 2.46 = 1.04
Which method can be used to find the correct value to the equation?The given equation that has an error is presented as follows;
3.5 - 2.46 = 1.16
The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.
The correct process for the subtraction is presented as follows;
3.5¹0
- 2.46
1.04
Therefore;
3.5 - 2.46 = 1.04
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I need help with this,I need the awnsers before tommrow PLEASE AND THANK YOU!!!!!
The graphs of the function is attached below.
The transformation used by the is function is that the function is stretched and a vertical shift of 3 units downwards.
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.Determine whether the figure looks reversed, like a reflection in a mirror. The graph has been reflected if we can locate a line of reflection, picture folding the image over the line of reflection, and the shapes stack one on top of the other.The given graph is y = 2 x³ - 3
To understand the transformation we have to find the parent function.
For this graph the parent function is given by:
y = x³
So let us transform the graph to y=2x³ , the graph is stretched 2 times.
Now let us use the final function y = 2 x³ - 3 , here the graph is vertically shifted downwards.
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Simplify this math equation:
(h/5)^-2
[tex] \large \bf \implies{25 {h}^{ - 2}} \\ [/tex]
Step-by-step explanation:[tex] \bf \longrightarrow \bigg( \frac{h}{5} \bigg)^{ - 2} \\ \\ \bf \longrightarrow \bigg(\frac{5}{h} \bigg)^{2} \\ \\ \bf \longrightarrow \frac{ {5}^{2} }{ {h}^{2} } \\ \\ \bf \longrightarrow \frac{25}{ {h}^{2} } \\ \\ \bf \longrightarrow25 {h}^{ - 2} [/tex]
Note :- We have using the negative exponent rule :
[tex] \large \mapsto \bf \boxed{ \bf \red{{a}^{ - n} = \frac{1}{ {a}^{n} } }}[/tex]
Record
". Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a fur
C {0, 1, 2); function D {0, 1, 2); not a function
B (0, 1, 0); not a function
A (0, 1, 0); function
The correct option is C. (0, 1, 2); function. The domain of the function is (0, 1, 2).
What is defined as the function and its domain?Functions are used to allocate outputs to inputs. A function's domain is the set of possible inputs to the function. The domain of f(x)=x² is all real numbers, for example, and the domain of g(x)=1/x has been all real numbers except x=0. We can also characterize special functions with more limited domains.For the given question;
The relation is;
(x, y) = {(0, 0), (1, 1), (2, 0)}
Take out the values for x.
x = {0, 1, 2}
The above set indicates that the x-values begin at 0 and end at 2.
As a result, the domain is {0, 1, 2}.
To be a function, all of the relation's y-values must refer to different x-values.
Since all y-values possess unique x values, we can say that the provided relation is a function.
Therefore, the given relation defines a function with domain of {0, 1, 2}.
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The correct question is-
Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a function;
A. (0, 1, 0); function
B. (0, 1, 0); not a function
C. (0, 1, 2); function
D. (0, 1, 2); not a function
x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable
When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true
What is a confounding variable?It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.
In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.
Therefore, the information illustrated is true.
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Explain how using properties can help you mentally find answers
Let's see a few examples to understand the statement given in the question.
Example 1:
Find the sum of 75.5 + (58.231 + 24.5)
Hence , the sum of 75.2+(57.376+24.8) is 158.231.
75.5 + (58.231 + 24.5)
= 75.5 + (24.5 + 58.231) (using the commutative property of addition)
= (75.5 + 24.5) + 58.231 (using the associative property of addition)
= 100 + 58.231 (by looking at the first two numbers, it is easier to say that the sum is 100.)
= 158.231 (you can write this answer directly without doing any calculation)
Therefore, the sum of 75.2+(57.376+24.8) is 158.231.
Example 2:
Find the product of (25 × 2) × 50
Hence , the product is 2500 .
(25 × 2) × 50
= 25 × (2 × 50) (using the associate property of multiplication)
= 25 × 100
= 2500 ( we can simply add to zeros at the end if an integer number is multiplied by 100.)
Therefore, the product of (25 × 2) × 50 is 2500.
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-406=c+430
.................
Answer:
c=836
Step-by-step explanation:
=, c=430+ 406
c=836
is 3/5 of a mile longer or shorter than 4/7 of a mile
Answer:
3/5 is longer than 4/7
Step-by-step explanation:
list 1 1/4, 1 2/3, and 11/12 in order form least to greatest
help with problem 12
Answer:
A.
Step-by-step explanation:
Due to the absolute value markers on either side of the equation, there will be no negative numbers that will equal f(x). Therefore, the range cannot equal all real numbers, only all positive real numbers.
Is this answer right ?
Answer:
It's 25
Step-by-step explanation:
ooposite angle of 40 is the one between 2x and the 90 degree angle.
if that is 40 and another angle is 90, then
2x + 40 + 90 = 180
2x = 180 - 130
2x = 50
50/2 = x
x = 25
What is the slope of the line represented by the equation -5x + 2y = 10?
0 - 12/201
O
O
O
25
52
The slope of the line represented by the equation -5x + 2y = 10 is slope = -5/2 and y intercept= -5
In order to answer the question, we must first simplify the given linear equation so that it may be expressed as a regular linear equation with slope and intercept. A linear equation's slope intercept form is y=mx+b , where "m" denotes the line's slope and "b" its y-intercept. The value of y = 0 must then be entered for the x-intercept, and the value of "x" must then be determined. We will obtain all necessary values in this manner.
By slope-intercept form equation of the line:
y=mx+b
The advantage of the equation in this form is that m and b can be derived 'easily'
Rearrange -5x-2y = 10 in this form.
-2y=5x+10
y=-5/2x+-10/2
y=-5/2x-5
slope = -5/2
y intercept= -5
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Please help due today
Answer:
first one x = 11
Step-by-step explanation:
3x - 5 = 2x + 6
3x - 2x - 5 = 6
x - 5 = 6
x = 6 + 5
x = 11
Find the equation of the line parallel to the given line passing through the given point
y=-3x+2; (-2,-6)
Answer:
2946
Step-by-step explanation:
I don't know and iam not sure in that
Annabelle has $0.15 worth of pennies and nickels. She has a total of 7 pennies and
nickels altogether. By following the steps below, determine the number of pennies, x,
and the number of nickels, y, that Annabelle has.
Answer:
Nickels x = 11 and pennies y = 9
Step-by-step explanation:
State whether the following is a solution of x ≥ -4.1? Write only YES or NO.
1. -5
2. -4.1
3. 8
4. 0
Answer:
1. NO
2. YES
3. YES
4. YES
Step-by-step explanation:
Plot these on a number line to see visually.
Answer:
1. No
2. Yes
3. Yes
4. Yes
Step-by-step explanation:
Given inequality :
x ≥ -4.1
1.
[tex]\ -5\Large \ \ \text{\bf{(NO)}}[/tex]
Reason: 5 > 4.1 ⇒ -5 < -4.1
2.
[tex]\ -4.1\Large \ \ \text{\bf{(Yes)}}[/tex]
Reason : -4.1 = -4.1 ⇒ -4.1 ≥ -4.1
3.
[tex]\ 8\Large \ \ \text{\bf{(Yes)}}[/tex]
Reason : 8 is positive and -4.1 is negative ⇒ 8 ≥ -4.1
4.
[tex]\ 0\Large \ \ \text{\bf{(Yes)}}[/tex]
Reason : -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1
represent the following on number line -5
Answer:
It would be 5 spots to the left of 0 on the number line.
Step-by-step explanation:
Rachel went to see a baseball game. The game started at 10:42 AM and ended at 2:11 PM. How long was the game?
Answer:
4 hous and 29 minutes
Step-by-step explanation:
find the reciprocal of 12.5
Answer:
Reciprocal means put 1/x
Step-by-step explanation:
It will 1/12.5=0.08
ford wants to administer a satisfaction survey to its current customers. using their customer database, the company randomly selects customers and asks them about their level of satisfaction with the company.
Simple Random ford wants to administer a satisfaction survey to its current customers. using their customer database, the company randomly selects customers and asks them about their level of satisfaction with the company.
What is an example of a basic random sample?
A simple random sample might consist of 25 employees' names drawn at random from a pool of 250 employees. Since each employee has an equal chance of being selected, the sample in this case is random and the population in this case is all 250 employees.Is a straightforward random sample representative?
The probability sampling technique known as simple random sampling (SRS) involves selecting participants from a population at random. The likelihood of being chosen is the same for every member of the population. This technique usually results in representative, impartial sampling.Learn more about basic random sample
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Solve for X and also angles P,Q,R
Answer:
x = 35°
Q = 87°
P = 58°
R = 35°
Step-by-step explanation:
[tex]x+52+2x-12+x=180[/tex]
[tex]4x+40=180[/tex]
[tex]4x=180-40[/tex]
[tex]x=\frac{140}{4} =35[/tex]
Angle R = 35°
Angle Q = 35 +52 = 87°
Angle P = 2(35) - 12 = 70 -12 = 58°
Hope this helps
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
Answer:
50%
Step-by-step explanation:
theres always a 50% chance of getting either a head or a tail
100 POINTS BRAINLIEST FOR 1ST ANSWER!!!!
Carla puts $625 into a savings account at an annual interest rate of 2.5%. If she does not withdraw or deposit any money, what is the interest that Carla will earn at the end of 6 months?
Type the number including the dollar sign.
The formula is I=prt
Answer:
$7.81 (nearest cent)
Step-by-step explanation:
Simple Interest Formula
[tex]\boxed{\sf I = Prt}[/tex]
where:
I = Total interest accrued.P = Principal invested.r = Interest rate (in decimal form).t = Time (in years).Given values:
P = $625r = 2.5% = 0.025t = 6 months = 0.5 yearsSubstitute the given values into the formula and solve for I:
[tex]\implies \sf I=625 \cdot 0.025 \cdot 0.5[/tex]
[tex]\implies \sf I=15.625 \cdot 0.5[/tex]
[tex]\implies \sf I=7.8125[/tex]
Therefore, the interest that Carla will earn at the end of 6 months is $7.81 (nearest cent).
Answer:
$7.81 (nearest cent)
Step-by-step explanation:
Use the simple interest formula